Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208i |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
70620041080664064 = 212 · 314 · 112 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1419276,-650675680] |
[a1,a2,a3,a4,a6] |
Generators |
[-683:279:1] |
Generators of the group modulo torsion |
j |
105885578215194688/23650508871 |
j-invariant |
L |
5.9778754765934 |
L(r)(E,1)/r! |
Ω |
0.13832117229344 |
Real period |
R |
1.8007232154484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208y2 32736k2 |
Quadratic twists by: -4 -3 |